ChristianKl comments on Open thread, July 21-27, 2014 - Less Wrong Discussion
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Question about Bayesian updates.
Say Jane goes to get a cancer screening. 5% prior of having cancer, the machine has a success rate of 80% and a false positive rate of 9%. Jane gets a positive on the test and so she now has a ~30% chance of having cancer.
Jane goes to get a second opinion across the country. A second cancer screening (same success/false positive rates) says she doesn't have cancer. What is her probability for having cancer now?
What does "success rate" mean?
Accurately detecting a cancer that does exist.
The accuracy of a test is generally defined as (Σ True positive + Σ True negative/Σ Total population). That something different then the sensitivity of a test.
I think it's useful to use the terms used in the statistical literature when talking about something like this instead of making up vague one on your own.